λ
Sigma Notebook

8,448,784

24 × 113 × 4673
Deficient Even Composite

8,448,784 is even and not a perfect square. Its factorization is 2^4 × 113 × 4673 and its 20 divisors sum to 16,517,916.

Prime Factor Structure

Factorization String 2^4 × 113 × 4673
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,517,916
Proper Divisor Sum 8,069,132
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8448763 ← → #8448793

Radix Representation

Decimal 8448784
Binary 100000001110101100010000 (24 bits)
Octal 0o40165420
Hexadecimal 0x80EB10

Divisor Catalog (20)

1 2 4 8 16 113 226 452 904 1,808 4,673 9,346 18,692 37,384 74,768 528,049 1,056,098 2,112,196 4,224,392 8,448,784

Collatz Trajectory (75 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,448,784 4,224,392 2,112,196 1,056,098 528,049 1,584,148 792,074 396,037 1,188,112 594,056 297,028 148,514 74,257 222,772 111,386 55,693 167,080 83,540 41,770 20,885 62,656 31,328 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7

More profiles

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